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Find the circumference of a circle with a diameter of 50 centimeters. Round your answer to the nearest centimeter.

Question

Find the circumference of a circle with a diameter of 50 centimeters.

Round your answer to the nearest centimeter.

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Solution

1. Break Down the Problem

To find the circumference of a circle, we need to use the formula: C=π×d C = \pi \times d where CC is the circumference and dd is the diameter.

2. Relevant Concepts

In this case, we have:

  • Diameter (dd) = 50 cm
  • The constant π\pi (approximately 3.14 or 22/7 for calculations).

3. Analysis and Detail

Now we can substitute the diameter into the formula:

C=π×50 C = \pi \times 50

Using π3.14 \pi \approx 3.14:

C3.14×50 C \approx 3.14 \times 50

4. Verify and Summarize

Calculating 3.14×503.14 \times 50:

C157 C \approx 157

Now, rounding to the nearest centimeter, we find that the circumference of the circle is 157 cm.

Final Answer

The circumference of the circle is approximately 157 centimeters.

This problem has been solved

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